2k^2-13k+11=0

Solution for 2k^2-13k+11=0 equation:

Simplifying
2k2 + -13k + 11 = 0

Reorder the terms:
11 + -13k + 2k2 = 0

Solving
11 + -13k + 2k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(1 + -1k)(11 + -2k) = 0

Subproblem 1
Set the factor '(1 + -1k)' equal to zero and attempt to solve:

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1k = 0 + -1
-1k = 0 + -1

Combine like terms: 0 + -1 = -1
-1k = -1

Divide each side by '-1'.
k = 1

Simplifying
k = 1
Subproblem 2
Set the factor '(11 + -2k)' equal to zero and attempt to solve:

Simplifying
11 + -2k = 0

Solving
11 + -2k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + -2k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2k = 0 + -11
-2k = 0 + -11

Combine like terms: 0 + -11 = -11
-2k = -11

Divide each side by '-2'.
k = 5.5

Simplifying
k = 5.5
Solution
k = {1, 5.5}